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Which of the following is an irrational number?

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Question: Which of the following is an irrational number?

Options:

  1. √4
  2. √2
  3. 0.25
  4. 1

Correct Answer: √2

Solution: 

√4 = 2, 0.25 = 1/4, and 1 is rational. √2 is irrational.

Which of the following is an irrational number?

Practice Questions

Q1
Which of the following is an irrational number?
  1. √4
  2. √2
  3. 0.25
  4. 1

Questions & Step-by-Step Solutions

Which of the following is an irrational number?
  • Step 1: Understand what an irrational number is. An irrational number cannot be expressed as a simple fraction (like 1/2 or 3/4).
  • Step 2: Look at the first option, √4. Calculate √4, which equals 2. Since 2 can be written as 2/1, it is a rational number.
  • Step 3: Look at the second option, 0.25. This can be written as 1/4, which is a fraction. Therefore, 0.25 is a rational number.
  • Step 4: Look at the third option, 1. This can also be written as 1/1, making it a rational number.
  • Step 5: Look at the last option, √2. This number cannot be expressed as a fraction. Therefore, it is an irrational number.
  • Step 6: Conclude that the only irrational number from the options given is √2.
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